Block Designs

Block Designs poster

Research Authorship:

Lucien Poulin, Dr. Daniela Genova

Faculty Mentor:

Dr. Daniela Genova | College of Arts and Sciences | Department of Mathematics and Statistics

Abstract:

Block designs are a type of combinatorial structures that can be used to model many different types of problems ranging from experimental design to computer software testing. They can be used to construct schemes that ensure complete optimization and efficiency of the given experiment. We focus mainly on Steiner and Kirkman triple systems, as well as, on different ways for constructing block designs. Well known results in combinatorics such as Fisher’s inequality and Kirkman’s schoolgirl problem are also discussed.

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